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Simplifying 0.64 + 0.14t = 2.30t + -0.80 Reorder the terms: 0.64 + 0.14t = -0.80 + 2.30t Solving 0.64 + 0.14t = -0.80 + 2.30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.30t' to each side of the equation. 0.64 + 0.14t + -2.30t = -0.80 + 2.30t + -2.30t Combine like terms: 0.14t + -2.30t = -2.16t 0.64 + -2.16t = -0.80 + 2.30t + -2.30t Combine like terms: 2.30t + -2.30t = 0.00 0.64 + -2.16t = -0.80 + 0.00 0.64 + -2.16t = -0.80 Add '-0.64' to each side of the equation. 0.64 + -0.64 + -2.16t = -0.80 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 0.00 + -2.16t = -0.80 + -0.64 -2.16t = -0.80 + -0.64 Combine like terms: -0.80 + -0.64 = -1.44 -2.16t = -1.44 Divide each side by '-2.16'. t = 0.6666666667 Simplifying t = 0.6666666667
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